Question: Determine whether each of these arguments is valid. If an argument is correct, what rule of inference is being used? If it is not, what

Determine whether each of these arguments is valid. If an argument is correct, what rule of inference is being used? If it is not, what logical error occurs?
a) If n is a real number such that n > 1, then n2 > 1.
Suppose that n2 > 1. Then n > 1.
b) If n is a real number with n > 3, then n2 > 9.
Suppose that n2 ≤ 9. Then n ≤ 3.
c) If n is a real number with n > 2, then n2 > 4.
Suppose that n ≤ 2. Then n2 ≤ 4.

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